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Finding the Third Proportional to 344,972 and 754,072

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Solution

The third proportional to 344,972 and 754,072 is: 1,648,320.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,972 : 754,072 = 754,072 : x
  2. Step 2: Convert to fraction form
    344,972/754,072 = 754,072/x
  3. Step 3: Cross multiply
    344,972x = 754,072 × 754,072
  4. Step 4: Simplify right side
    344,972x = 568,624,581,184
  5. Step 5: Solve for x
    x = 568,624,581,184/344,972
  6. Step 6: Final answer
    x = 1,648,320.97

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.